18528240640 has 792 divisors, whose sum is σ = 61494500160. Its totient is φ = 5313724416.

The previous prime is 18528240623. The next prime is 18528240707. The reversal of 18528240640 is 4604282581.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 18528240593 and 18528240602.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805575669 + ... + 805575691.

Almost surely, 2^18528240640 is an apocalyptic number.

18528240640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18528240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30747250080).

18528240640 is an abundant number, since it is smaller than the sum of its proper divisors (42966259520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18528240640 is a wasteful number, since it uses less digits than its factorization.

18528240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 18528240640 in words is "eighteen billion, five hundred twenty-eight million, two hundred forty thousand, six hundred forty".